In A.C. circuit frequency comes due to A.C. Current's oscillating nature where the current travels sinusoidally in positive and negative half cycle.
But in D.C. ( Direct current ) the current always flow in same cycle , it can be positive or negative half cycle.
So in D.C. current there is no frequency asoociated with it.
And we know that
w(omega) = 2 * pi * f
where f is frequency
So since f=0 in D.C. circuit therefore w(omega) also becomes zero.
Hence it is true that omega (w) becomes zero in DC circuit.
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